Question
Asked Oct 21, 2019
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Differentiate implicitly to find the first partial derivatives of w.
x2 + y2 + z2 − 7yw + 8w2 = 7
∂w
∂x
=

∂w
∂y
=

∂w
∂z
=

 

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Expert Answer

Step 1

The given implicit function is,

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x2227yw+8w2 = 7 -7yw+8w2-7= 0 x yz

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Step 2

Differentiate partially with respect to x.

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дw 16w дх дw -0 0 дх 2х +0+0-7у дw (16w-7y) - 7у - 2х дх _ дw —2х 16w - 7y дх

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Step 3

Differentiate partially with ...

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aw 0 2y 0 7w1)-7y- 16w 0 0 ду (16w-7y) 7w- 2y 7w-2y 1 ду 16w - 7у

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